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    LCM for 12, 24 and 48

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 12, 24 and 48?

    Answer

    LCM of 12, 24 and 48 is
    48

    First common multiples: 48, 96, 144, …

    48 is divisible by all three: 48 ÷ 12 = 4, 48 ÷ 24 = 2, 48 ÷ 48 = 1 — and 4, 2 and 1 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 4 and of y/24 by 2.

    12 = 22 × 3

    24 = 23 × 3

    48 = 24 × 3

    Prime122448Highest power
    222232424
    33333

    LCM = 24 × 3 = 48

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--24--48Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--24--48">What is the LCM of 12, 24 and 48? - Calculatio</a>Copy
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    What is the LCM of 12, 24 and 48? The LCM of 12, 24 and 48 is 48 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--24--48/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    122433264
    122434408
    122435840
    12243672
    122437888
    122438456
    122439312
    122440120
    122441984
    122442168
    1224431,032
    122444264
    122445360
    122446552
    1224471,128
    12244848
    1224491,176
    122450600
    122451408
    122452312
    1224531,272
    122454216
    1224551,320
    122456168
    122457456
    122458696
    1224591,416
    122460120
    1224611,464
    122462744

    FAQ

    What's the Least Common Multiple (LCM) of 12, 24 and 48?

    LCM of 12, 24 and 48 is 48

    How to find the LCM of 12, 24 and 48 by prime factorization?

    Take every prime that appears in 12, 24 and 48 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 = 48.

    Can you get the LCM of 12, 24 and 48 two numbers at a time?

    Yes. The LCM of 12 and 24 is 24, and the LCM of 24 and 48 is 48 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 48 divisible by 12, 24 and 48?

    Yes, and by definition it is the smallest positive integer that is: 48 ÷ 12, 48 ÷ 24 and 48 ÷ 48 all come out whole. Any other common multiple of 12, 24 and 48 is a multiple of 48.

    See Also